On the interacting chiral gauge field theory in D=6 and the off-shell equivalence of dual Born-Infeld-like actions

Acanonical action describing the interaction of chiral gauge fields in D = 6 Minkowski spacetime is constructed. In a particular partial gauge fixing it reduces to the action found by Ferry and Schwarz. The additional gauge s ymmetries are used to show the off-shell equivalence of the dimensional red uction to D = 5 Minkowski spacetime of the chiral gauge field canonical act ion and the Born-Infeld canonical action describing an interacting D = 5 Ab elian vector field. Its extension to improve the on-shell equivalence argum ents of dual D-brane actions to off-shell ones is discussed.